{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "lamda = 0.9\n",
    "weights = []\n",
    "T = 16\n",
    "MAXT = 30"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def weight(lamda, t):\n",
    "    return (1-lamda)*np.power(lamda, t)\n",
    "\n",
    "def base_func(t):\n",
    "    return 0*t"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.linspace(1, MAXT,MAXT)\n",
    "y = weight(lamda, x)\n",
    "y1 = base_func(x)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 2160x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(30,10))\n",
    "markerline, stemlines, baseline = plt.stem(x, weight(lamda,x), ':','-')\n",
    "plt.setp(markerline, color='black', linewidth=2)\n",
    "plt.setp(stemlines, color='black', linewidth=1)\n",
    "plt.setp(baseline, color='black', linewidth=2)\n",
    "\n",
    "\n",
    "xf=x[np.where((x>=3)&(x<=4))]\n",
    "plt.fill_between(xf,weight(lamda,xf),base_func(xf),color='black',alpha=0.25)\n",
    "xf2 = x[np.where(x>=T)]\n",
    "plt.fill_between(xf2,weight(lamda,xf2),base_func(xf2),color='black',alpha=0.25)\n",
    "plt.xticks([])\n",
    "plt.yticks([])\n",
    "#plt.axis('off')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = [0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0]\n",
    "lamda = 0.5\n",
    "\n",
    "def ET(x, lamda):\n",
    "    et = 0\n",
    "    result_x = []\n",
    "    result_y =[]\n",
    "    for i in range(len(X)):\n",
    "        x = X[i]\n",
    "        if x == 1:\n",
    "            et += 1        \n",
    "            result_y.append(et)\n",
    "            result_x.append(i-1)\n",
    "        et  *= lamda\n",
    "        result_y.append(et)\n",
    "        result_x.append(i)\n",
    "    return result_x,result_y\n",
    "X,Y = ET(X, lamda)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(20,5))\n",
    "\n",
    "\n",
    "markerline, stemlines, baseline = plt.stem(X, Y, ':','-',\":\")\n",
    "plt.setp(markerline, color='black', linewidth=2)\n",
    "plt.setp(stemlines, color='black', linewidth=0.5)\n",
    "plt.setp(baseline, color='black', linewidth=1)\n",
    "\n",
    "\n",
    "plt.xticks([])\n",
    "plt.yticks([])\n",
    "#plt.axis('off')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
